Name: 
 

Algebra 2 Chapter 1 Practice Test



 1. 

Compare the graph of sa001-1.jpg with the graph of sa001-2.jpg.
 

 2. 

Compare the graph of sa002-1.jpg with the graph of sa002-2.jpg.
 

 3. 

Compare the graph of  mc003-1.jpg with the graph of mc003-2.jpg.
a.
The graph of g(x) is translated 9 units left from the graph of f(x).
b.
The graph of g(x) is translated 9 units right from the graph of f(x).
c.
The graph of g(x) is translated 9 units up from the graph of f(x).
d.
The graph of g(x) is translated 9 units down from the graph of f(x).
 

 4. 

Compare and contrast the graphs of f(x) = x and g(x) = es004-1.jpgx.
 

 5. 

Graph mc005-1.jpg and mc005-2.jpg mc005-3.jpgmc005-4.jpg. Then describe the transformation from the graph of mc005-5.jpg to the graph of mc005-6.jpg mc005-7.jpgmc005-8.jpg.
a.
mc005-9.jpg
The transformations are a shrink and a translation.
c.
mc005-11.jpg
The transformations are a translation, a reflection, and a shrink.
b.
mc005-10.jpg
The transformations are a shrink and a reflection.
d.
mc005-12.jpg
The transformations are a translation and a reflection.
 

 6. 

Describe the transformations applied to the graph of the parent function sa006-1.jpg used to graph sa006-2.jpg.
 

 7. 

Let mc007-1.jpg be a vertical shift of mc007-2.jpg up 4 units followed by a vertical stretch by a factor of 3. Write the rule for mc007-3.jpg.
a.
mc007-4.jpg
c.
mc007-6.jpg
b.
mc007-5.jpg
d.
mc007-7.jpg
 

 8. 

Write a function that transforms mc008-1.jpg in the following way:
vertical stretch by a factor of 6 and shift 5 units left.
a.
mc008-2.jpg
c.
mc008-4.jpg
b.
mc008-3.jpg
d.
mc008-5.jpg
 

 9. 

What are the y-intercepts of the graphs of the functions?

Equation A
sa009-1.jpg

Equation B
sa009-2.jpg
 

 10. 

Which function models the relationship between mc010-1.jpg and mc010-2.jpg shown in the table?

mc010-3.jpg
mc010-4.jpg
2
1
4
5
6
9
a.
mc010-15.jpg
b.
mc010-16.jpg
c.
mc010-17.jpg
d.
mc010-18.jpg
 

 11. 

Rita reads a book at a steady pace. Rita graphs her progress through the book by putting the time in hours mc011-1.jpg on the horizontal axis and chapters remaining mc011-2.jpg on the vertical axis. Which equation describes Rita’s graph?

mc011-3.jpg
a.
mc011-7.jpg
b.
mc011-8.jpg
c.
mc011-9.jpg
d.
mc011-10.jpg
 

 12. 

Decide which linear function is increasing at a greater rate. Explain your answer.

--Linear Function 1 has an x-intercept of –2 and a y-intercept of 1.
--Linear Function 2 includes the points in the table.

x
–2
–1
0
1
2
3
y
–5
–2
1
4
7
10
a.
The rate of change of a linear function is equal to its slope.
The slope of Linear Function 1 is mc012-1.jpg.
The slope of Linear Function 2 is mc012-2.jpg.
Linear Function 2 is increasing at a greater rate.
b.
The rate of change of a linear function is equal to its slope.
The slope of Linear Function 1 is mc012-3.jpg.
The slope of Linear Function 2 is mc012-4.jpg.
Linear Function 2 is increasing at a greater rate.
c.
The rate of change of a linear function is equal to its slope.
The slope of Linear Function 1 is mc012-5.jpg.
The slope of Linear Function 2 is mc012-6.jpg.
Linear Function 1 is increasing at a greater rate.
d.
The rate of change of a linear function is equal to its slope.
The slope of Linear Function 1 is mc012-7.jpg.
The slope of Linear Function 2 is mc012-8.jpg.
Linear Function 2 is increasing at a greater rate.
 

 13. 

Decide which linear function is increasing at a greater rate.

Graph of Linear Function 1: has an sa013-1.jpg-intercept of sa013-2.jpg and a sa013-3.jpg-intercept of 5.
Graph of Linear Function 2: passes through the points in the table below.

sa013-4.jpg
 

 14. 

Leah pays $40 a month for cable TV, plus $4 for each movie she orders on pay-per-view. Which equation gives Leah’s total monthly cable bill as a function of the number of pay-per-view movies m that she orders?
a.
mc014-1.jpg
b.
mc014-2.jpg
c.
mc014-3.jpg
d.
mc014-4.jpg
 

 15. 

The cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?
a.
y = 15x – 95; $1060
c.
y = 15x + 95; $1250
b.
y = 95x + 15; $7330
d.
y = 95x – 15; $7300
 

 16. 

Lucy pays $211 in advance on her account at the athletic club. Each time she uses the club, $5 is deducted from the account. Write a linear function that gives the value remaining in her account after x visits to the club. Find the value remaining in the account after 10 visits.
 

 17. 

Which equation best fits the data?

x
2
3
4
6
y
2
1
6
6
a.
mc017-1.jpg
c.
mc017-3.jpg
b.
mc017-2.jpg
d.
mc017-4.jpg
 

 18. 

The table shows the number of minutes per day that members of a cross-country team spent practicing over the summer and the members’ mile times the following semester.

Daily practice (min)
0
30
20
0
15
Mile time (min)
8.5
5.5
6.5
6.5
7


Which equation represents a line of best fit for these data?
a.
mc018-1.jpg
c.
mc018-3.jpg
b.
mc018-2.jpg
d.
mc018-4.jpg
 

 19. 

Given the following system of equations, what number should you multiply the first equation by so that the x-term will be eliminated when the first equation is added to the second equation?

mc019-1.jpg
a.
mc019-15.jpg
b.
mc019-16.jpg
c.
mc019-17.jpg
d.
mc019-18.jpg
 

 20. 

Solve mc020-1.jpg by substitution.
a.
mc020-2.jpg
c.
mc020-4.jpg
b.
mc020-3.jpg
d.
mc020-5.jpg
 



 
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